Trigonometry: Plane and Spherical; with the Construction and Application of Logarithms. By Thomas Simpson, F.R.S. |
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Side 17
The fines of every degree and minute , up to 60 ° , being thus found ; those of
above 60 ° will be had by addition only ( from Theor . 2. p . 15. ) then , the fines
being all known , the tangents and fecants will likewise become known , by Prop .
1 .
The fines of every degree and minute , up to 60 ° , being thus found ; those of
above 60 ° will be had by addition only ( from Theor . 2. p . 15. ) then , the fines
being all known , the tangents and fecants will likewise become known , by Prop .
1 .
Side 22
By Thomas Simpson, F.R.S. Thomas Simpson. but those of above 60 ° are best
found from those below , as has been fhewn elsewhere . The reasons upon
which the foregoing operations are founded , depend upon principles too foreign
from ...
By Thomas Simpson, F.R.S. Thomas Simpson. but those of above 60 ° are best
found from those below , as has been fhewn elsewhere . The reasons upon
which the foregoing operations are founded , depend upon principles too foreign
from ...
Side 39
Then are the indices of those terms called low garithms of the numbers to which
ebe terms them . felves are equal . Thus , if an = 2 , and a " = 3 , then will m and n
be logarithms of the numbers 2 and 3 respectively . Hence it is evident , that ...
Then are the indices of those terms called low garithms of the numbers to which
ebe terms them . felves are equal . Thus , if an = 2 , and a " = 3 , then will m and n
be logarithms of the numbers 2 and 3 respectively . Hence it is evident , that ...
Side 46
058891517 & c.and 35 consequently hyp . log . 3 : ( byp.log . 2+ hyp . log . 4 : + {
S ) = 1,098612288 & c . 2. Let the hyperbolic logarithm of 1o be required The
logarithms of 8 and 9 being given , from those of 2 and 3 ( already found ) , a may
...
058891517 & c.and 35 consequently hyp . log . 3 : ( byp.log . 2+ hyp . log . 4 : + {
S ) = 1,098612288 & c . 2. Let the hyperbolic logarithm of 1o be required The
logarithms of 8 and 9 being given , from those of 2 and 3 ( already found ) , a may
...
Side 51
Note , The logarithms found according to this method , in numbers between
10000 and 20000 , are true to 8 or 9. places of figures : those of numa bers
between 20000 and 50000 érr only in the gek or 10 place ; and those of above
50000 are ...
Note , The logarithms found according to this method , in numbers between
10000 and 20000 , are true to 8 or 9. places of figures : those of numa bers
between 20000 and 50000 érr only in the gek or 10 place ; and those of above
50000 are ...
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Vanlige uttrykk og setninger
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